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Finding the Third Proportional to 57,904 and 86,855

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Solution

The third proportional to 57,904 and 86,855 is: 130,281.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,904 : 86,855 = 86,855 : x
  2. Step 2: Convert to fraction form
    57,904/86,855 = 86,855/x
  3. Step 3: Cross multiply
    57,904x = 86,855 × 86,855
  4. Step 4: Simplify right side
    57,904x = 7,543,791,025
  5. Step 5: Solve for x
    x = 7,543,791,025/57,904
  6. Step 6: Final answer
    x = 130,281.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.